(a) Show that the kinetic energy K and the momentum magnitude p of a particle with mass m are related by K= p2

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Chapter6: Momentum, Impulse, And Collisions
Section6.3: Collisions In One Dimension
Problem 6.3QQ: A car and a large truck traveling at the same speed collide head-on and stick together. Which...
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. (a) Show that the kinetic energy K and the momentum magnitude p of a particle with mass m are related by K= p2
/2m.
(b) A 0.040-kg cardinal (Richmondena cardinalis) and a 0.145-kg baseball have the same kinetic energy. Which has the 
greater magnitude of momentum? What is the ratio of the cardinal’s magnitude of momentum to the baseball’s?
(c) A 700-N man and a 450-N woman have the same momentum. Who has the greater kinetic energy? What is the ratio 
of the man’s kinetic energy to that of the woman?

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